Symmetry properties of tetraammine platinum(II) with C2v and C4v point groups

被引:8
作者
Moghani G.A. [1 ]
Ashrafi A.R. [2 ]
Hamadanian M. [3 ]
机构
[1] Dept. of Math., Payame Noor Univ., Tehran
[2] Dept. of Math., Univ. of Kashan, Kashan
[3] Dept. of Chem., Univ. of Kashan, Kashan
关键词
Euclidean graph; Tetraammine platinum (II); Weighted graph;
D O I
10.1631/jzus.2005.B0222
中图分类号
学科分类号
摘要
Let G be a weighted graph with adjacency matrix A=[aij]. An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix D=[dij], where for i≠j, dij is the Euclidean distance between the nuclei i and j. In this matrix dij can be taken as zero if all the nuclei are equivalent. Otherwise, one may introduce different weights for different nuclei. Balasubramanian (1995) computed the Euclidean graphs and their automorphism groups for benzene, eclipsed and staggered forms of ethane and eclipsed and staggered forms of ferrocene. This paper describes a simple method, by means of which it is possible to calculate the automorphism group of weighted graphs. We apply this method to compute the symmetry of tetraammine platinum(II) with C2v and C4v point groups.
引用
收藏
页码:222 / 226
页数:4
相关论文
共 22 条
[1]  
Ashrafi A.R., Hamadanian M., The full non-rigid group theory for tetraammine platinium(II), Croat. Chem. Acta, 76, 4, pp. 299-303, (2003)
[2]  
Ashrafi A.R., Hamadanian M., Group theory for tetraammine platinum(II) with C<sub>2v</sub> and C<sub>4v</sub> point group in the non-rigid system, J. Appl. Math. and Computing, 14, pp. 289-303, (2004)
[3]  
Balasubramanian K., The symmetry groups of nonrigid molecules as generalized wreath products and their representations, J. Chem. Phys., 72, pp. 665-677, (1980)
[4]  
Balasubramanian K., Generating functions for the nuclear spin statistics of non-rigid molecules, J. Chem. Phys., 75, pp. 4572-4585, (1981)
[5]  
Balasubramanian K., The symmetry groups of chemical graphs, Intern. J. Quantum Chem., 21, pp. 411-418, (1982)
[6]  
Balasubramanian K., Group theory of non-rigid molecules and its applications, Studies Phys. Theor. Chem., 23, pp. 149-168, (1983)
[7]  
Balasubramanian K., Applications of combinatorics and graph theory to spectroscopy and quantum chemistry, Chem. Rev., 85, pp. 599-618, (1985)
[8]  
Balasubramanian K., Graph-theoretical perception of molecular symmetry, Chem. Phys. Letters, 232, pp. 415-423, (1995)
[9]  
Balasubramanian K., Non-rigid group theory, tunneling splitting and nuclear spin statistics of water pentamer: (H<sub>2</sub>o)<sub>5</sub>, J. Phys. Chem., 108, pp. 5527-5536, (2004)
[10]  
Balasubramanian K., Group theoretical analysis of vibrational modes and rovibronic levels of extended aromatic C<sub>48</sub>N<sub>12</sub> azafullerene, Chem. Phys. Letters, 391, pp. 64-68, (2004)